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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 10 — Apr. 1, 2011
  • pp: 1488–1500

Relationships between the generalized functional method and other methods of nonimaging optical design

John Bortz and Narkis Shatz  »View Author Affiliations


Applied Optics, Vol. 50, Issue 10, pp. 1488-1500 (2011)
http://dx.doi.org/10.1364/AO.50.001488


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Abstract

The recently developed generalized functional method provides a means of designing nonimaging concentrators and luminaires for use with extended sources and receivers. We explore the mathematical relationships between optical designs produced using the generalized functional method and edge-ray, aplanatic, and simultaneous multiple surface (SMS) designs. Edge-ray and dual-surface aplanatic designs are shown to be special cases of generalized functional designs. In addition, it is shown that dual-surface SMS designs are closely related to generalized functional designs and that certain computational advantages accrue when the two design methods are combined. A number of examples are provided.

© 2011 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(110.0110) Imaging systems : Imaging systems
(220.1770) Optical design and fabrication : Concentrators
(110.2945) Imaging systems : Illumination design
(080.4298) Geometric optics : Nonimaging optics

History
Original Manuscript: November 5, 2010
Revised Manuscript: January 26, 2011
Manuscript Accepted: January 26, 2011
Published: March 31, 2011

Citation
John Bortz and Narkis Shatz, "Relationships between the generalized functional method and other methods of nonimaging optical design," Appl. Opt. 50, 1488-1500 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-10-1488

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